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Simplifying
(2 + -1x)(-2 + -1x) + -4 = 0
Multiply (2 + -1x) * (-2 + -1x)
(2(-2 + -1x) + -1x * (-2 + -1x)) + -4 = 0
((-2 * 2 + -1x * 2) + -1x * (-2 + -1x)) + -4 = 0
((-4 + -2x) + -1x * (-2 + -1x)) + -4 = 0
(-4 + -2x + (-2 * -1x + -1x * -1x)) + -4 = 0
(-4 + -2x + (2x + 1x2)) + -4 = 0
Combine like terms: -2x + 2x = 0
(-4 + 0 + 1x2) + -4 = 0
(-4 + 1x2) + -4 = 0
Reorder the terms:
-4 + -4 + 1x2 = 0
Combine like terms: -4 + -4 = -8
-8 + 1x2 = 0
Solving
-8 + 1x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 1x2 = 0 + 8
Combine like terms: -8 + 8 = 0
0 + 1x2 = 0 + 8
1x2 = 0 + 8
Combine like terms: 0 + 8 = 8
1x2 = 8
Divide each side by '1'.
x2 = 8
Simplifying
x2 = 8
Take the square root of each side:
x = {-2.828427125, 2.828427125}
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